KMS Of Academy of mathematics and systems sciences, CAS
dembowskiostrompolynomialsfromreverseddicksonpolynomials | |
Zhang Xiaoming1; Wu Baofeng2; Liu Zhuojun1 | |
2016-01-01 | |
发表期刊 | journalofsystemsscienceandcomplexity |
ISSN | 1009-6124 |
卷号 | 29期号:1页码:259 |
摘要 | This paper gives a full classification of Dembowski-Ostrom polynomials derived from the compositions of reversed Dickson polynomials and monomials over finite fields of characteristic 2. The authors also classify almost perfect nonlinear functions among all such Dembowski-Ostrom polynomials based on a general result describing when the composition of an arbitrary linearized polynomial and a monomial of the form x~(1+2a) is almost perfect nonlinear. It turns out that almost perfect nonlinear functions derived from reversed Dickson polynomials are all extended affine equivalent to the well-known Gold functions. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/45817 |
专题 | 系统科学研究所 |
作者单位 | 1.中国科学院数学与系统科学研究院 2.中国科学院信息工程研究所 |
推荐引用方式 GB/T 7714 | Zhang Xiaoming,Wu Baofeng,Liu Zhuojun. dembowskiostrompolynomialsfromreverseddicksonpolynomials[J]. journalofsystemsscienceandcomplexity,2016,29(1):259. |
APA | Zhang Xiaoming,Wu Baofeng,&Liu Zhuojun.(2016).dembowskiostrompolynomialsfromreverseddicksonpolynomials.journalofsystemsscienceandcomplexity,29(1),259. |
MLA | Zhang Xiaoming,et al."dembowskiostrompolynomialsfromreverseddicksonpolynomials".journalofsystemsscienceandcomplexity 29.1(2016):259. |
条目包含的文件 | 条目无相关文件。 |
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